Quantitative observability for one-dimensional Schrödinger equations with potentials

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Schrödinger operator, Schrödinger equation (35J10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Free boundary problems for PDEs (35R35) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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Control for Schrödinger operators on 2-tori: rough potentials
Observability inequalities and measurable sets
Stabilization of the wave equation by the boundary
Elliptic partial differential equations of second order
Non-null-controllability of the Grushin operator in 2D
Control of the Schrödinger equation
Dispersion and controllability for the Schrödinger equation on negatively curved manifolds
Observability and unique continuation inequalities for the Schrödinger equation
Observable sets, potentials and Schrödinger equations
Time optimal observability for Grushin Schrödinger equation
Observability and controllability for the Schrödinger equation on quotients of groups of Heisenberg type
Rough controls for Schrödinger operators on 2-tori
Control for Schrödinger operators on tori
Control for Schrödinger equation on hyperbolic surfaces
Semiclassical measures for the Schrödinger equation on the torus
Wigner measures and observability for the Schrödinger equation on the disk
Observability and control of Schrödinger equations
Some results related to the Logvinenko-Sereda theorem
Semiclassical analysis
Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
Geometric control in the presence of a black box
On the energy decay rate of the fractional wave equation on ℝ with relatively dense damping
$$\boldsymbol{(s,p)}$$ -Valent Functions
Null-controllability of one-dimensional parabolic equations
Controllability of the Schrödinger equation on unbounded domains without geometric control condition
Propagation of smallness and control for heat equations

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